Let A(-3, 2), B(-5,-5), C(2,-3) and D(4,4) are the vertices of a rhombus.

Coordinates of the midpoint of AC are

Coordinates of the midpoint of BD are

Thus, AC and BD have the same midpoint

Hence, ABCD is a parallelogram

So, ABCD is a parallelogram whose adjacent sides are equal.

Hence, ABCD is a rhombus.